Search a number
-
+
1375352680 = 2351319913291
BaseRepresentation
bin101000111111010…
…0011011101101000
310112211222011012011
41101332203131220
510304042241210
6344250325304
746040206402
oct12176433550
93484864164
101375352680
11646394909
12324729834
1318bc2bc70
14d0937b72
1580b26d8a
hex51fa3768

1375352680 has 64 divisors (see below), whose sum is σ = 3349584000. Its totient is φ = 505232640.

The previous prime is 1375352669. The next prime is 1375352701. The reversal of 1375352680 is 862535731.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96835 + ... + 110125.

It is an arithmetic number, because the mean of its divisors is an integer number (52337250).

Almost surely, 21375352680 is an apocalyptic number.

1375352680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375352680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674792000).

1375352680 is an abundant number, since it is smaller than the sum of its proper divisors (1974231320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1375352680 is a wasteful number, since it uses less digits than its factorization.

1375352680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13514 (or 13510 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 1375352680 is about 37085.7476667250. The cubic root of 1375352680 is about 1112.0851102843.

The spelling of 1375352680 in words is "one billion, three hundred seventy-five million, three hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 199 260 398 520 796 995 1592 1990 2587 3980 5174 7960 10348 12935 13291 20696 25870 26582 51740 53164 66455 103480 106328 132910 172783 265820 345566 531640 691132 863915 1382264 1727830 2644909 3455660 5289818 6911320 10579636 13224545 21159272 26449090 34383817 52898180 68767634 105796360 137535268 171919085 275070536 343838170 687676340 1375352680